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13261335261125 = 537271120125391
BaseRepresentation
bin1100000011111010010100…
…1011010110111111000101
31201221202211020220022102212
43000332211023112333011
53214233203311324000
644112101234113205
72536046151563600
oct300764513267705
951852736808385
1013261335261125
11425311203a446
1215a217641b805
137527002672c3
1433bbd0059337
1517ee576b6c35
hexc0fa52d6fc5

13261335261125 has 96 divisors (see below), whose sum is σ = 19540394505216. Its totient is φ = 8957592000000.

The previous prime is 13261335261121. The next prime is 13261335261133. The reversal of 13261335261125 is 52116253316231.

It is not a de Polignac number, because 13261335261125 - 22 = 13261335261121 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13261335261121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 522272180 + ... + 522297570.

It is an arithmetic number, because the mean of its divisors is an integer number (203545776096).

Almost surely, 213261335261125 is an apocalyptic number.

It is an amenable number.

13261335261125 is a deficient number, since it is larger than the sum of its proper divisors (6279059244091).

13261335261125 is a wasteful number, since it uses less digits than its factorization.

13261335261125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26692 (or 26675 counting only the distinct ones).

The product of its digits is 194400, while the sum is 41.

Adding to 13261335261125 its reverse (52116253316231), we get a palindrome (65377588577356).

The spelling of 13261335261125 in words is "thirteen trillion, two hundred sixty-one billion, three hundred thirty-five million, two hundred sixty-one thousand, one hundred twenty-five".

Divisors: 1 5 7 25 35 49 71 125 175 245 355 497 875 1201 1225 1775 2485 3479 6005 6125 8407 8875 12425 17395 25391 30025 42035 58849 62125 85271 86975 126955 150125 177737 210175 294245 426355 434875 596897 634775 888685 1050875 1244159 1471225 1802761 2131775 2984485 3173875 4178279 4443425 6220795 7356125 9013805 10658875 12619327 14922425 20891395 22217125 30494591 31103975 45069025 63096635 74612125 88335289 104456975 152472955 155519875 213462137 225345125 315483175 441676445 522284875 762364775 1067310685 1494234959 1577415875 2165115961 2208382225 3811823875 5336553425 7471174795 10825579805 11041911125 15155811727 26682767125 37355873975 54127899025 75779058635 106090682089 186779369875 270639495125 378895293175 530453410445 1894476465875 2652267052225 13261335261125